ABCD-is-a-square-with-center-O-I-is-the-middle-of-BC-1-q-is-geometric-transformation-defined-by-q-M-M-such-that-CM-CM-3DM-a-Determinate-the-invariant-point-of-q-b-show-that-q

Question Number 104744 by mathocean1 last updated on 23/Jul/20

A B C D i s a s q u a r e w i t h c e n t e r O .

I i s t h e m i d d l e o f [B C] .

1) q i s g e o m e t r i c t r a n s f o r m a t i o n

d e f i n e d b y q : M \to M^{'} s u c h t h a t

\vec{{C M}^{'}} = \vec{C M} + 3 \vec{D M} .

a) D e t e r m i n a t e t h e i n v a r i a n t p o i n t

o f q .

b) s h o w t h a t q i s a h o m o t h e t y a n d

p r e c i s e i t r a t i o .